How to add remote Git repo to local repo and keep it updated?

Question

I have authorization by public_key to remote repo and I can get everything from http://someurl/first.git on my local machine, but I have to populate this changes to other environments. To make it possible I have to put there my private_key , clone repo and switch to specified tag. But I don't want to do it because of security reasons.

I'm thinking about creation of my local repo http://someurl/second.git , committing all changes to it and deploy. But I have now idea how to add remote repo to my local? Is it possible? And how to commit to my local repo from remote and switch to needed tag?

Answer 1

Noufal Ibrahim should post his comment as an answer :

Use git remote add to register a new remote repository, eg :

git remote add site2 http://someurl/second.git

After that, you can push from your local machine to this other repository :

git push site2 myBranch